Decoherence and dissipation in a molecular system coupled to an environment: An application of semiclassical hybrid dynamics

Journal of Chemical Physics

Volumn 130, Issue 24, 2009, Pages

  Goletz, Christoph Marian ^a   Grossmann, Frank ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BLUE SHIFT; CAT STATE; COHERENT STATE; DECOHERENCE; DECOHERENCE RATES; HYBRID DYNAMICS; INTERFERENCE PATTERNS; LOW FREQUENCY; MOLECULAR SYSTEMS; MORSE OSCILLATOR; QUANTUM-CLASSICAL; TEST SYSTEMS; ZERO TEMPERATURES;

SPECTRAL DENSITY;

DYNAMICS;

EID: 67650493563     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3157162     Document Type: Article

References (61)

1. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
2. T. Brixner, N. H. Damrauer, P. Niklaus, and G. Gerber, Nature (London) 0028-0836 414, 57 (2001). 10.1038/35102037
3. W. Zurek, Phys. Today 0031-9228 44 (10), 36 (1991).
4. K. Shiokawa and R. Kapral, J. Chem. Phys. 0021-9606 117, 7852 (2002). 10.1063/1.1509745
5. W. Zurek, Los Alamos Sci. 0273-7116 27, 2 (2002).
6. A. Ishizaki and Y. Tanimura, J. Chem. Phys. 0021-9606 125, 084501 (2006). 10.1063/1.2244558
7. M. Schlosshauer, Decoherence and the Quantum-to-Classical Transition (Springer, Berlin, 2007).
8. H. Grabert, Projection Operator Techniques in Nonequilibrium Statistical Mechanics, Springer Tracts in Modern Physics (Springer, New York, 1982).
9. R. P. Feynman and F. L. Vernon, Ann. Phys. (N.Y.) 0003-4916 24, 118 (1963). 10.1016/0003-4916(63)90068-X
10. U. Weiss, Quantum Dissipative Systems, 3rd ed. (World Scientific, Singapore, 2008).
11. J. Cao, L. W. Ungar, and G. A. Voth, J. Chem. Phys. 0021-9606 104, 4189 (1996). 10.1063/1.471230
12. I. Burghardt, M. Nest, and G. A. Worth, J. Chem. Phys. 0021-9606 119, 5364 (2003). 10.1063/1.1599275
13. H. Wang and M. Thoss, New J. Phys. 1367-2630 10, 115005 (2008). 10.1088/1367-2630/10/11/115005
14. R. Martinazzo, M. Nest, P. Saalfrank, and G. F. Tandardini, J. Chem. Phys. 0021-9606 125, 194102 (2006). 10.1063/1.2362821
15. M. L. Brewer, J. Chem. Phys. 0021-9606 111, 6168 (1999). 10.1063/1.479920
16. H. Wang, M. Thoss, K. L. Sorge, R. Gelabert, X. Giḿnez, and W. H. Miller, J. Chem. Phys. 0021-9606 114, 2562 (2001). 10.1063/1.1337802
17. Y. Elran and P. Brumer, J. Chem. Phys. 0021-9606 121, 2673 (2004). 10.1063/1.1766009
18. J. M. Moix and E. Pollak, J. Chem. Phys. 0021-9606 129, 064515 (2008). 10.1063/1.2965884
19. F. Grossmann, J. Chem. Phys. 0021-9606 125, 014111 (2006). 10.1063/1.2213255
20. M. F. Herman and E. Kluk, Chem. Phys. 0301-0104 91, 27 (1984). 10.1016/0301-0104(84)80039-7
21. E. J. Heller, J. Chem. Phys. 0021-9606 75, 2923 (1981). 10.1063/1.442382
22. E. J. Heller, J. Chem. Phys. 0021-9606 62, 1544 (1975). 10.1063/1.430620
23. X. Sun and W. H. Miller, J. Chem. Phys. 0021-9606 106, 916 (1997). 10.1063/1.473171
24. M. Ovchinnikov and V. A. Apkarian, J. Chem. Phys. 0021-9606 108, 2277 (1998). 10.1063/1.475612
25. S. Zhang and E. Pollak, J. Chem. Theory Comput. 1549-9618 1, 345 (2005). 10.1021/ct0499074
26. K. Blum, Density Matrix Theory and Applications (Plenum, 1996).
27. E. Pollak, Phys. Rev. A 1050-2947 33, 4244 (1986). 10.1103/PhysRevA.33. 4244
28. A. O. Caldeira and A. J. Leggett, Physica A 0378-4371 121, 587 (1983). 10.1016/0378-4371(83)90013-4
29. P. M. Morse, Phys. Rev. 0096-8250 34, 57 (1929). 10.1103/PhysRev.34.57
30. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran, 2nd ed. (Cambridge University Press, Cambridge, 1992).
31. J. S. Bader, B. J. Berne, E. Pollak, and P. Haenggi, J. Chem. Phys. 0021-9606 104, 1111 (1996). 10.1063/1.470766
32. A. M. Levine, M. Shapiro, and E. Pollak, J. Chem. Phys. 0021-9606 88, 1959 (1988). 10.1063/1.454718
33. J. Tang and A. R. W. McKellar, J. Chem. Phys. 0021-9606 119, 5467 (2003). 10.1063/1.1598954
34. X. Sun, H. Wang, and W. H. Miller, J. Chem. Phys. 0021-9606 109, 7064 (1998). 10.1063/1.477389
35. H. Wang, X. Sun, and W. H. Miller, J. Chem. Phys. 0021-9606 108, 7064 (1998).
36. R. Gelabert, X. Giḿnez, M. Thoss, H. Wang, and W. H. Miller, J. Chem. Phys. 0021-9606 114, 2572 (2001). 10.1063/1.1337803
37. M. F. Herman, J. Chem. Phys. 0021-9606 85, 2069 (1986). 10.1063/1.451150
38. K. Kay, Annu. Rev. Phys. Chem. 0066-426X 56, 255 (2005). 10.1146/annurev.physchem.56.092503.141257
39. S. Zhang and E. Pollak, Phys. Rev. Lett. 0031-9007 91, 190201 (2003). 10.1103/PhysRevLett.91.190201
40. K. G. Kay, Chem. Phys. 0301-0104 322, 3 (2006). 10.1016/j.chemphys.2005. 06.019
41. G. Hochman and K. G. Kay, Phys. Rev. A 1050-2947 73, 064102 (2006). 10.1103/PhysRevA.73.064102
42. G. Hochman and K. G. Kay, J. Phys. A 0305-4470 41, 385303 (2008). 10.1088/1751-8113/41/38/385303
43. E. Kluk, M. F. Herman, and H. L. Davis, J. Chem. Phys. 0021-9606 84, 326 (1986). 10.1063/1.450142
44. E. J. Heller, in Chaos et Physique Quantique/Chaos and Quantum Physics, Proceedings of the Les Houches Summer School, Session LII (1989), edited by, M. J. Giannoni, A. Voros, and, J. Zinn-Justin, (North-Holland, Amsterdam, 1991).
45. K. G. Kay, J. Chem. Phys. 0021-9606 100, 4377 (1994). 10.1063/1.466320
46. J. Liu and W. H. Miller, J. Chem. Phys. 0021-9606 126, 234110 (2007). 10.1063/1.2743023
47. W. H. Miller, J. Chem. Phys. 0021-9606 95, 9428 (1991). 10.1063/1.461177
48. E. Wigner, Phys. Rev. 0096-8250 40, 749 (1932). 10.1103/PhysRev.40.749
49. E. J. Heller, J. Chem. Phys. 0021-9606 65, 1289 (1976). 10.1063/1.433238
50. C. Jaff́ and P. Brumer, J. Chem. Phys. 0021-9606 82, 2330 (1985). 10.1063/1.448946
51. K. B. Moller, J. P. Dahl, and N. E. Henriksen, J. Phys. Chem. 0022-3654 98, 3272 (1994). 10.1021/j100064a005
52. J. A. Fleck, J. R. Morris, and M. D. Feit, Appl. Phys. A 0721-7250 10, 129 (1976).
53. J. A. C. Gallas, Phys. Rev. A 1050-2947 21, 1829 (1980). 10.1103/PhysRevA.21.1829
54. We found that even a bath of ten modes was sufficient to obtain a dissipative behavior close to the results for 20 bath modes as shown here.
55. K. G. Kay, J. Chem. Phys. 0021-9606 101, 2250 (1994). 10.1063/1.467665
56. M. Spanner, V. S. Batista, and P. Brumer, J. Chem. Phys. 0021-9606 122, 084111 (2005). 10.1063/1.1854634
57. S. Yoshida, F. Grossmann, E. Persson, and J. Burgdoerfer, Phys. Rev. A 1050-2947 69, 043410 (2004). 10.1103/PhysRevA.69.043410
58. D. J. Tannor, Introduction to Quantum Mechanics: A Time-Dependent Perspective (University Science Books, Sausalito, 2007).
59. Z. Bihary, M. Karavitis, and V. A. Apkarian, J. Chem. Phys. 0021-9606 120, 8144 (2004). 10.1063/1.1691407
60. J. M. Riga and C. C. Martens, J. Chem. Phys. 0021-9606 120, 6863 (2004). 10.1063/1.1651472
61. W. Koch, F. Grossmann, J. T. Stockburger, and J. Ankerhold, Phys. Rev. Lett. 0031-9007 100, 230402 (2008). 10.1103/PhysRevLett.100.230402